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Contributions to Game Theory and Management, 2017, Volume 10, Pages 326–338 (Mi cgtm313)  
This article is cited in 1 scientific paper (total in 1 paper)

On a dynamic traveling salesman problem

Svetlana Tarashnina, Yaroslavna Pankratova, Aleksandra Purtyan

St. Petersburg State University, Universitetskaya emb., 7/9, St. Petersburg, 199034, Russia
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Abstract: In this paper we consider a dynamic traveling salesman problem (DTSP) in which $n$ objects (the salesman and $m$ customers) move on a plane with constant velocities. Each customer aims to meet the salesman as soon as possible. In turn, the salesman aspires to meet all customers for the minimal time. We formalize this problem as non-zero sum game of pursuit and find its solution as a Nash equilibrium. Finally, we give some examples to illustrate the obtained results.
Keywords: dynamic traveling salesman problem, non-zero sum game, Nash equilibrium.
Funding agency Grant number
Russian Science Foundation 17-11-01079
This work was supported by the Russian Science Foundation (grant 17-11-01079).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Svetlana Tarashnina, Yaroslavna Pankratova, Aleksandra Purtyan, “On a dynamic traveling salesman problem”, Contributions to Game Theory and Management, 10 (2017), 326–338
Citation in format AMSBIB
\Bibitem{TarPanPur17}
\by Svetlana~Tarashnina, Yaroslavna~Pankratova, Aleksandra~Purtyan
\paper On a dynamic traveling salesman problem
\jour Contributions to Game Theory and Management
\yr 2017
\vol 10
\pages 326--338
\mathnet{http://mi.mathnet.ru/cgtm313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3702237}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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